Solve 550*60+500(x-60)>55000

$$550 \times 60+500(x-60) > 55000$$

Solve for x

$$x>104$$

Solution Steps

Multiply 550 and 60 to get 33000.

$$33000+500\left(x-60\right)>55000$$

Use the distributive property to multiply 500 by x-60.

$$33000+500x-30000>55000$$

Subtract 30000 from 33000 to get 3000.

$$3000+500x>55000$$

Subtract 3000 from both sides.

$$500x>55000-3000$$

Subtract 3000 from 55000 to get 52000.

$$500x>52000$$

Divide both sides by 500. Since 500 is positive, the inequality direction remains the same.

$$x>\frac{52000}{500}$$

Divide 52000 by 500 to get 104.

$$x>104$$